A253482 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock ne-sw antidiagonal difference unequal to its neighbors horizontally and nw+se diagonal sum unequal to its neighbors vertically

81, 558, 558, 3888, 6804, 3888, 27000, 85464, 85280, 27000, 187704, 1069400, 1962374, 1066300, 187704, 1304424, 13402934, 44878810, 44943722, 13347930, 1304424, 9066168, 167888152, 1028601406, 1878758740, 1029772234, 166986430

Offset

1,1

Comments

Table starts

......81.......558........3888.........27000..........187704...........1304424

.....558......6804.......85464.......1069400........13402934.........167888152

....3888.....85280.....1962374......44878810......1028601406.......23553719782

...27000...1066300....44943722....1878758740.....78770049974.....3299718630574

..187704..13347930..1029772234...78704951512...6038749847806...462971719837062

.1304424.166986430.23584643086.3297669520142.463112610524774.64994605968684110

Links

R. H. Hardin, Table of n, a(n) for n = 1..66

Formula

Empirical for column k:

k=1: a(n) = 3*a(n-1) +24*a(n-2) +24*a(n-3)

k=2: [order 88]

Empirical for row n:

n=1: a(n) = 3*a(n-1) +24*a(n-2) +24*a(n-3)

n=2: [order 90] for n>91

Example

Some solutions for n=2 k=4
..0..0..2..2..0....0..0..1..1..2....0..0..0..1..0....0..0..0..1..1
..0..1..0..2..2....1..0..1..1..2....2..0..2..2..0....0..2..1..0..0
..2..2..0..2..1....1..1..0..0..0....1..1..0..2..2....2..0..1..0..0

Crossrefs

Column 1 and row 1 are A186133

Sequence in context: A253294 A253164 A185777 * A186141 A185771 A186133

Adjacent sequences: A253479 A253480 A253481 * A253483 A253484 A253485

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 02 2015

Status

approved